1. AVERAGE-CASE "MESSY" BROADCASTING.
- Author
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CHENKUAN LI, HART, THOMAS E., HENRY, KEVIN J., and NEUFELD, IAN A.
- Subjects
- *
BROADCASTING industry , *INTEGRATED circuit interconnections , *ELECTRIC network topology , *ELECTRIC network analysis , *PROBABILITY theory - Abstract
Current studies of "messy" broadcasting have so far concentrated on finding worst-case times. However, such worst-case scenarios are extremely unlikely to occur in general. Hence, determining average-case times or tight upper bounds for completing "messy" broadcasting in various network topologies is both necessary and meaningful in practice. In this paper, we focus on seeking the average-case "messy" broadcast times of stars, paths, cycles, and d-ary trees, and finding good upper bounds for hypercubes. Finally, we derive a recursive formula to express the average-case time for a specific "messy" broadcast model on a complete graph using a classical occupancy problem in probability theory, and provide a nice simulation result which indicates that this model behaves like classical broadcasting. [ABSTRACT FROM AUTHOR]
- Published
- 2008
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